Solution - Reducing fractions to their lowest terms

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "19.232" was replaced by "(19232/1000)".

Step  1  :

            2404
 Simplify   ————
            125 

Equation at the end of step  1  :

    2404                
  ((———— +  3) +  7) +  3
    125                 

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  125  as the denominator :

         3     3 • 125
    3 =  —  =  ———————
         1       125  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 2404 + 3 • 125     2779
 ——————————————  =  ————
      125           125 

Equation at the end of step  2  :

   2779          
  (———— +  7) +  3
   125           

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  125  as the denominator :

         7     7 • 125
    7 =  —  =  ———————
         1       125  

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions

 2779 + 7 • 125     3654
 ——————————————  =  ————
      125           125 

Equation at the end of step  3  :

  3654    
  ———— +  3
  125     

Step  4  :

Rewriting the whole as an Equivalent Fraction :

 4.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  125  as the denominator :

         3     3 • 125
    3 =  —  =  ———————
         1       125  

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions

 3654 + 3 • 125     4029
 ——————————————  =  ————
      125           125 

Final result :

  4029            
  ———— = 32.23200 
  125